Convert Gradian to Radian
Use this free converter to change gradians (grad) into radians (rad). Gradian and radian both measure angle. As a quick reference, 1 grad equals 0.015707963 rad, and 1 rad equals 63.661977 grad.
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Radian (rad)
0.015707963
1 grad = 0.015707963 rad
Angle conversion table
| Gradian | Radian |
|---|---|
| 0.01 | 0.00015707963 |
| 0.1 | 0.0015707963 |
| 0.5 | 0.0078539816 |
| 1 | 0.015707963 |
| 2 | 0.031415927 |
| 3 | 0.04712389 |
| 5 | 0.078539816 |
| 10 | 0.15707963 |
| 20 | 0.31415927 |
| 25 | 0.39269908 |
| 50 | 0.78539816 |
| 100 | 1.5707963 |
| 1,000 | 15.707963 |
How to convert Gradian to Radian
Multiply the gradian value by 0.015707963 to get radians.
- Enter the number of gradians you want to convert.
- The converter instantly shows the equivalent value in radians.
- Worked example: 15 grad × 0.015707963 = 0.23561945 rad.
- Use the swap button to reverse the conversion (radian to gradian).
About these units
Gradian (grad)
- Definition
- A gradian (grad) divides a right angle into 100 parts, so a full circle is 400 gradians.
- History
- It was introduced in France around the time of the metric system to decimalise angles.
- Current use
- Gradians are used in some surveying and civil-engineering contexts.
Radian (rad)
- Definition
- A radian (rad) is the SI angle for which the arc length equals the radius; a full circle is 2π radians.
- History
- The concept was formalised in the 19th century and named in 1873.
- Current use
- Radians are the standard angle unit in mathematics and physics.
Frequently asked questions
How many radians are in a gradian?
There are 0.015707963 rad in 1 grad. To convert, multiply the number of gradians by 0.015707963.
How do I convert gradians to radians?
Multiply the gradian value by 0.015707963 to get radians. For example, 10 grad = 0.15707963 rad.
Is this gradian-to-radian converter free?
Yes. This converter is completely free, runs entirely in your browser, and requires no sign-up. Your inputs never leave your device.
Convert Gradian to other angle units
| Unit | 1 Gradian equals |
|---|---|
| Degree (°) | 0.9 ° |
| Radian (rad) | 0.015707963 rad |
| Arcminute (') | 54 ' |
| Arcsecond (") | 3240 " |
| Turn (turn) | 0.0025 turn |